2609897920 has 112 divisors (see below), whose sum is σ = 7347752640. Its totient is φ = 863944704.

The previous prime is 2609897909. The next prime is 2609897923. The reversal of 2609897920 is 297989062.

2609897920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×2609897920³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2609897923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44872 + ... + 85048.

Almost surely, 2^2609897920 is an apocalyptic number.

2609897920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2609897920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3673876320).

2609897920 is an abundant number, since it is smaller than the sum of its proper divisors (4737854720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2609897920 is a wasteful number, since it uses less digits than its factorization.

2609897920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40230 (or 40220 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 52.

The square root of 2609897920 is about 51087.1600306770. The cubic root of 2609897920 is about 1376.8115705441.

The spelling of 2609897920 in words is "two billion, six hundred nine million, eight hundred ninety-seven thousand, nine hundred twenty".